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412524370038 = 231117761483139
BaseRepresentation
bin1100000000011000101…
…11100101100001110110
31110102210112101021210210
412000030113211201312
523224322214320123
6513302220530250
741542511201244
oct6001427454166
91412715337723
10412524370038
11149a50285a40
1267b496b0986
132cb9330b4a1
1415d756bb794
15aae61e7e93
hex600c5e5876

412524370038 has 64 divisors (see below), whose sum is σ = 954251746560. Its totient is φ = 117499161600.

The previous prime is 412524370007. The next prime is 412524370067. The reversal of 412524370038 is 830073425214.

It is a junction number, because it is equal to n+sod(n) for n = 412524369978 and 412524370005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612273 + ... + 1095411.

It is an arithmetic number, because the mean of its divisors is an integer number (14910183540).

Almost surely, 2412524370038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412524370038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477125873280).

412524370038 is an abundant number, since it is smaller than the sum of its proper divisors (541727376522).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412524370038 is a wasteful number, since it uses less digits than its factorization.

412524370038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483933.

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 412524370038 in words is "four hundred twelve billion, five hundred twenty-four million, three hundred seventy thousand, thirty-eight".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 761 1122 1522 2283 4566 8371 12937 16742 25113 25874 38811 50226 77622 142307 284614 426921 483139 853842 966278 1449417 2898834 5314529 8213363 10629058 15943587 16426726 24640089 31887174 49280178 90346993 180693986 271040979 367668779 542081958 735337558 1103006337 2206012674 4044356569 6250369243 8088713138 12133069707 12500738486 18751107729 24266139414 37502215458 68754061673 137508123346 206262185019 412524370038